farhod eshmatov

Dr. Farkhod Eshmatov

  • ProfessorSchool of Engineering

Contact Info:

  • f.eshmatov@akfauniversity.org
  • +998 71 200 01 23
  • Professor at School of Engineering, AKFA University, Tashkent, Uzbekistan, January 2021 - Present
  • Doctor of Science in Mathematics and Physics, Secondary Doctorate, Habilitation, Tashkent, Uzbekistan, January 2021
  • Professor, Capital Normal University, 2019-2020
  • Professor, Sichuan University, Department of Mathematics, 2012–2019
  • Visiting Scholar, University of San Paulo, Spring 2014
  • Visiting Scholar, Indiana University, Spring 2013
  • Visiting Scholar, IHES , 2012 (April)
  • Visiting Scholar, MPIM at Bonn 2011-2012
  • Assistant Professor, University of Michigan, Department of Mathematics, 2007–2011
  • Cornell University, Ph.D. in Mathematics, 2007
  • Cornell University, MS in Mathematics, 2003
  • SUNY at Binghamton, MA in Mathematics, 2000
  • Tashkent State University, BS in Mathematics, 1998
  • Algebra
  • (Noncommutative) Algebraic Geometry
  • Integrable Systems
  • Infinite Dimensional Lie Algebras
  • Mathematical Physics
  • Algebraic geometry
  • Representation Theory
Work in progress:
  • Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras, submitted to Math. Z. (joint X. Chen, A. Eshmatov and L.Liu)
  • Van den Bergh’s functor and the moduli stack of Calabi-Yau categories, in preparation (joint with X. Chen, A. Eshmatov and J. Zeng)
  • On algebras Morita equivalent to generalized Weyl algebras in preparation (joint with X. Chen, A. Eshmatov and V.Futorny)
  1. Calculus 2 - AKFA University, Spring 2021
  2. Group Representations, Commutative Algebra, Geometry and Topology, Calculus - Sichuan University, Fall 2012-2019
  3. Math 116 (Calculus II), University of Michigan, Fall 2009
  4. Math 215 (Calculus III), University of Michigan, Spring 2009
  5. Math 217 (Linear Algebra), University of Michigan, Fall 2008
  6. Math 216 (Differential Equations), University of Michigan, Summer 2008
  7. Math 417 (Matrix Algebra I), University of Michigan, Spring 2008
  8. Math 285 (Honors Multivariable Calculus), University of Michigan, Fall 2007
  9. Math 112 (Calculus II), Cornell University, Fall 2005
  10. Math 221 (Calculus I), SUNY (Binghamton), Spring 2000.
  • “DG-models of projective modules and Nakajima quiver varieties”, Homology, Homotopy and Applications, 9:2 (2007), 177–208.
  • “Recollement of deformed preprojective algebras and the Calogero-Moser correspondence” with Yu. Berest and O. Chalykh, Mosc. Math. J., 8:1 (2008), 21–37.
  • “Heat Kernel Coefficients for Two-Dimensional Schrodinger Operators” with Y. Berest, T. Cramer, Commun. Math. Phys., 283:3 (2008), 853–860.
  • “Quantization of the Lie bialgebra of string topology” with X. Chen, and W. L. Gan, Commun. Math. Phys., 301 (2011), no. 1, 37–53.
  • “On subgroups of the Dixmier group and Calogero-Moser spaces” with Yu. Berest and A. Eshmatov, Electronic Research Announcements in Mathematical Sciences (18) 2011, pp. 12–21.
  • “Noncommutative Poisson structures, derived representation schemes and Calabi-Yau algebras” with Yu. Berest, X. Chen, A. Ramadoss, Mathematical aspects of quantization, 219–246, Contemp. Math., 583, Amer. Math. Soc., Providence, RI, 2012.
  • “Multitransitivity of Calogero–Moser spaces” with Yu. Berest and A. Eshmatov, Transformation Groups, 21 (2016), no. 1, 35–50.
  • “Dixmier groups and Borel subgroups” with Yu. Berest and A. Eshmatov, Adv. in Math., 286 (2016) 387–429.
  • “Noncommutative Noether’s problem for complex reflection groups” with V. Futorny, S. Ovsienko and J. Schwarz, Proc. Amer. Math. Soc. 145 (2017), no. 12, 5043–5052.
  • “Derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras” with X. Chen, A. Eshmatov and S. Yang, Journal of Noncommutative Geometry, 11 (2017), 111–160.
  • “Gravity algebra structure on the negative cyclic homology of Calabi-Yau algebras” with X. Chen and L. Liu, J. Geom. Phys. 147 (2020) 103522.
  • “Calabi-Yau algebras and the shifted noncommutative symplectic structure” (joint with X. Chen), Adv. Math. 367 (2020) 107126.
  • “Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras” with X. Chen, Y. Chen and S. Yang, to be accepted by J. Noncomm. Geom.
  • “On transitive action on quiver varieties” with X. Chen, A. Eshmatov and A. Tikaradze, accepted in IMRN.
  • Conference on Lie and Jordan algebras, their representations and applications, January 6-11, 2020 Chengdu, China
  • First China-Central Asia Joint Meeting of Mathematicians, Sichuan University, Chengdu, China, 15-20 September, 2019
  • Program on Derived Algebraic Geometry, Institute of Mathematics of Toulouse and Sichuan University, October 7-25, 2019
  • CIMPA, Nonassociative algebras and application, Tashkent, Uzbekistan, 10/09/2018 to 21/09/2018
  • National Natural Science Foundation of China (No. 11271269) String topology and its applications to symplectic geometry and non-commutative geometry, Participant, 2013-2016.
  • 2. National Natural Science Foundation of China (No. 11671281) Some non-commutative geometric structures on Calabi-Yau categories, Participant, 2017-2020.